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3 years ago

Create a linear function that has a rate of change of -3 and a solution at (5,2)

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

y = - 3x + 17

Step-by-step explanation:

Note that slope is a measure of the rate of change of a linear function.

Express the function in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (5, 2) into the partial function

2 = - 15 + c ⇒ c = 2 + 15 = 17

y = - 3x + 17 ← is the linear function

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Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz

Arte-miy333 [17]

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Step-by-step explanation:

First of all we have to define variables for each item involved in the purchase

Let x represent burger

y represent soda

z be the slice of pizza

Then

"Louis bought a burger and soda for $8"

$x+y=8$

"Kate purchased a slice of pizza and soda for $9"

$y+z=9$

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

$x+y+z=13.50$

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

#LearnwithBrainly

5 0

3 years ago

Evaluate 3C1. a)3 b)1 c)2 d)6

murzikaleks [220]

Answer: Option a) 3

Step-by-step explanation:

The formula for calculating combinations is as follows

$nCr = \frac{n!}{r!(n-r)!}$

Where "n" is the amount of items in a set and you can choose "r" from them

3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

$n = 3\\\\r = 1$

So :

$3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3$

5 0

3 years ago

I need help it's geometry

nekit [7.7K]

Step-by-step explanation:

$\sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535$

$\sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535$

3 0

3 years ago

Read 2 more answers

465 how can you find the 1 places?

Kisachek [45]

to find the first places you have to look at the ones tens and hundreds so the first place is in the ones place

I hope this helps

7 0

3 years ago

Which of the following points is a solution of the inequality y < |x - 2|?

crimeas [40]

Answer:

(-2,0)

Step-by-step explanation:

y < |x - 2|

Substitute the points in and check

(-2,0)

0 < |-2 - 2|

0 < |-4|

0 < 4 True

(2,1)

1 < |2 - 2|

1 < |0|

1 < 0 False

(2,0)

0 < |2 - 2|

0 < |0|

0 < 0 False

3 0

3 years ago